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112
BZOJ/3232/3232.cpp
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112
BZOJ/3232/3232.cpp
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#include <iostream>
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#include <algorithm>
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#include <iomanip>
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#include <iterator>
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#include <queue>
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#include <tuple>
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#include <vector>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 55;
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const double eps = 1e-6;
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int n, m, s[N][N];
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std::vector<std::tuple<int, int, int>> g[N * N];
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int cnt[N * N];
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double dist[N * N];
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bool vis[N * N];
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int id(int x, int y) {
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return (x - 1) * (m + 1) + y;
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}
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bool check(double x) {
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std::fill(std::begin(cnt), std::end(cnt), 0);
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std::fill(std::begin(dist), std::end(dist), -1e9);
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std::fill(std::begin(vis), std::end(vis), false);
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std::queue<int> q;
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q.emplace(1);
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dist[1] = 0;
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vis[1] = true;
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while (!q.empty()) {
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int u = q.front();
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q.pop();
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vis[u] = false;
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for (auto e : g[u]) {
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int v, a, b;
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std::tie(v, a, b) = e;
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double w = static_cast<double>(b) - x * a;
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if (dist[v] < dist[u] + w) {
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dist[v] = dist[u] + w;
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if (!vis[v]) {
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cnt[v] = cnt[u] + 1;
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if (cnt[v] > (n + 1) * (m + 1)) return false;
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vis[v] = true;
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q.emplace(v);
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}
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}
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}
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}
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return true;
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> m;
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for (int i = 1; i <= n; i++) {
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for (int j = 1, x; j <= m; j++) {
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cin >> x;
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s[i][j] = s[i][j - 1] + x;
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}
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}
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for (int i = 1; i <= n + 1; i++) {
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for (int j = 1, x; j <= m; j++) {
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cin >> x;
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g[id(i, j)].emplace_back(id(i, j + 1), x, 0);
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g[id(i, j + 1)].emplace_back(id(i, j), x, 0);
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}
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}
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for (int i = 1; i <= n; i++) {
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for (int j = 1, x; j <= m + 1; j++) {
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cin >> x;
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g[id(i, j)].emplace_back(id(i + 1, j), x, -s[i][j - 1]);
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g[id(i + 1, j)].emplace_back(id(i, j), x, s[i][j - 1]);
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}
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}
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double l = 0, r = 1000;
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while (r - l > eps) {
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double mid = (l + r) / 2;
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if (check(mid)) r = mid;
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else l = mid;
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}
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cout << std::fixed << std::setprecision(3) << l << endl;
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return 0;
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}
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